An inversion of the obstacle problem and its explicit solution

Hans Lewy

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1979)

  • Volume: 6, Issue: 4, page 561-571
  • ISSN: 0391-173X

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Lewy, Hans. "An inversion of the obstacle problem and its explicit solution." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 6.4 (1979): 561-571. <http://eudml.org/doc/83820>.

@article{Lewy1979,
author = {Lewy, Hans},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {inverse problems; obstacle problem; determination of the coincidence set; Dirichlet integral; conductor potential; boundary},
language = {eng},
number = {4},
pages = {561-571},
publisher = {Scuola normale superiore},
title = {An inversion of the obstacle problem and its explicit solution},
url = {http://eudml.org/doc/83820},
volume = {6},
year = {1979},
}

TY - JOUR
AU - Lewy, Hans
TI - An inversion of the obstacle problem and its explicit solution
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1979
PB - Scuola normale superiore
VL - 6
IS - 4
SP - 561
EP - 571
LA - eng
KW - inverse problems; obstacle problem; determination of the coincidence set; Dirichlet integral; conductor potential; boundary
UR - http://eudml.org/doc/83820
ER -

References

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  1. [1] L.A. Caffarelli, The regularity of free boundaries in higher dimensions, Acta Math., 139 (1977), pp. 155-184. Zbl0386.35046MR454350
  2. [2] D. Kinderlehrer, The coincidence set of solutions of certain variational inequalities, Arch. Rational Mech. Anal., 40 (1971), pp. 231-250. Zbl0219.49014MR271799
  3. [3] H. Lewy - G. Stampacchia, On the regularity of the solution of a variational inequality, Comm. Pure Appl. Math., 22 (1969), pp. 153-188. Zbl0167.11501MR247551
  4. [4] D.G. Schaeffer, A stability theorem for the obstacle problem, Advances in Math., 17 (1975), pp. 34-47. Zbl0317.49013MR380093

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